HELP, WILL MARK BRAINLIEST IF RIGHT!
1.) When a deposit is made to a checking account, the amount of the check should be:

A.) subtracted from the check register balance.

B.) not be written on the deposit slip.

C.) written on the check memo line.

D.) added to the check register balance.

E.) None of these choices are correct.

Answer:

x = 1.5

General Formulas and Concepts:

Algebra I

Equality Properties

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-1.2(3 - x) = -1.8

Step 2: Solve for x

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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The correct answer to the question "z scores that fall below the mean are" is "negative". Z-scores are measures of relative standing that can be used to make comparisons among the scores in the distribution by transforming raw data into standardized units.

The formula for z-score is:z = (X-μ)/σz-scores can be negative, zero, or positive numbers. A negative z-score tells us that the corresponding score is below the mean and vice versa.In addition to this, the mean of all z-scores is always zero. If the mean of all z-scores is zero, that means that z-scores are measuring deviation from the mean. If a z-score is below the mean, it means that the corresponding raw score is below the mean, which results in a negative z-score.

Z-scores that fall below the mean are negative. Z-scores are statistical values that allow analysts to transform raw data into standardized units that make comparisons possible among scores in the distribution. The formula for calculating the z-score is: z = (X-μ)/σThe z-score can be either negative, zero, or positive, depending on whether the value is below, equal to, or above the mean, respectively. Because the mean of all z-scores is always zero, z-scores can be used to measure deviation from the mean, with a negative z-score indicating that the corresponding raw score is below the mean. Z-scores allow us to compare the scores in the distribution by converting them into standard units. Negative z-scores are associated with scores that are below the mean. Conversely, positive z-scores are associated with scores that are above the mean.

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Answer:

2561.2785

Step-by-step explanation:

78.93 x 32.45

=> 2561.2785

Hoped this helped.

Answer:

2561.2785

Step-by-step explanation:

First you multiply 78.93 and 32.45

But ignore the decimal point "."

Just multiply 7893 and 3245

You will result with 25612785

Then add up the number of digits it is ahead of the decimal point

and move it that amount

78.93 the decimal point is 2 digits ahead thus there is two

32.45 the decimal point is 2 digits ahead thus there is two

2+2 is 4

Then move 4 digits which is 2561.2785

How this helps!

We are supposed to evaluate the integral:∫_0^1▒dx/(1+x^2 ).Using Romberg's method, we have to obtain an approximate value of x. The formula to calculate the integral by Romberg method is:

T_00 = h/2(f_0 + f_n)for i = 1, 2, …T_i0 = 1/2[T_{i-1,0} + h_i sum_(k=1)^(2^(i-1)-1) f(a + kh_i)]R(i,j) = (4^j T_(i,j-1) - T_(i-1,j-1))/(4^j-1)where h = (b-a)/n, h_i = h/2^(i-1).

The calculation is tabulated below: Thus, the approximate value of the integral ∫_0^1▒dx/(1+x^2 )using Romberg's method is:R(4,4) = 0.7854 ± 0.0007.

The question requires us to evaluate the integral ∫_0^1▒dx/(1+x^2 ) by using Romberg's method and then find an approximate value of x. Romberg's method is a numerical technique used to approximate definite integrals and it's known for producing highly accurate results.

The first step of the method is to apply the formula:T_00 = h/2(f_0 + f_n)which calculates the midpoint of the trapezoidal rule and returns an initial estimate of the integral.

We can use this initial estimate to calculate the next value of T_10, which is given by:T_10 = 1/2[T_00 + h_1(f_0 + f_1)]We can use the above formula to calculate the successive values of Tij, where i denotes the number of rows and j denotes the number of columns.

In the end, we can obtain the value of the integral by using the formula:

R(i,j) = (4^j T_(i,j-1) - T_(i-1,j-1))/(4^j-1)where i and j are the row and column indices, respectively.

After applying the above formula, we get R(4,4) = 0.7854 ± 0.0007Thus, the approximate value of the integral ∫_0^1▒dx/(1+x^2 )using Romberg's method is 0.7854 and the error is ± 0.0007. Hence, we can conclude that the value of x is 0.7854.

Romberg's method is a numerical technique used to approximate definite integrals and it's known for producing highly accurate results. The method involves calculating the midpoint of the trapezoidal rule and then using it to calculate the next value of Tij.

We can then obtain the value of the integral by using the formula R(i,j) = (4^j T_(i,j-1) - T_(i-1,j-1))/(4^j-1). The approximate value of the integral ∫_0^1▒dx/(1+x^2 )using Romberg's method is 0.7854 and the error is ± 0.0007.

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Answer: 6.75 cc

Step-by-step explanation:

The area of the board will when the chess board has 64 squares is 576cm²

From the information, the chess board has 64 squares and the side of each square is 3 cm. It's important to note that the area of a square will be:

= side × side

= 3 × 3

= 9cm²

In this case, the area of the board will be:

= 64 × 9cm²

= 576cm²

The area is 576cm².

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The absolute deviation of the data set 7 10 14 and 20 is 4.25.

What is the mean deviation method?

When calculating the average departure from the mean value of a particular data set, statisticians employ a measure known as the mean deviation. Following the steps below will make it simple to determine the mean deviation of the data values.

In statistics, the term "deviation" refers to the discrepancy between the observed value of a data point and its expected value. As a result, mean deviation, also known as mean absolute deviation, is the typical departure of a data point from the mean, median, or mode of the data collection.

data set is 7, 10, 14, 20,

Mean = m = 51/4 = 12.75

So the MAD is 1/4 |7-12.75| |10-12.75| |14-12.75| 20-12.75|

MAD = 17/4 = 4.25

Hence the mean absolute deviation of the data set 7 10 14 and 20 is 4.25.

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The x(t) ≈ xsp(t) = (25/127)cos(6t) - (3/127)sin(6t) for very large positive values of t.

Given equation is mx''+cx'+kx=F(t), where m=2 kg, c=8 kg/s, k=80 N/m, and F(t)=50 sin(6t) Newtons.

We need to solve the initial value problem where x(0)=0, x'(0)=0. This is a second-order linear differential equation. We can solve it using undetermined coefficients.

To solve the differential equation, we assume that x(t) is of the form A sin(6t) + B cos(6t) + C₁ e^{r1t} + C₂ \(e^{r2t}\).

Here, A and B are constants to be determined. Since the forcing function is sin(6t), we assume the homogeneous solution to be of the form e^{rt} and the particular solution to be of the form (C₁ sin(6t) + C₂ cos(6t)).After differentiating twice, we get the differential equation:

                          mr² + cr + k = 0

On solving, we get the roots as: r₁ = -4 and r₂ = -10. We know that, the homogeneous solution is xh(t) = C₁ e^{-4t} + C₂ e⁻¹⁰⁺.

Now, we find the particular solution xp(t). Since the forcing function is sin(6t), we assume the particular solution to be of the form xp(t) = (C₁ sin(6t) + C₂ cos(6t)).

On differentiating twice, we get xp''(t) = -36 (C₁ sin(6t) + C₂ cos(6t)) and substituting the values in the differential equation and solving we get, C₁ = -3/127 and C₂ = 25/127.

The particular solution is xp(t) = (-3/127)sin(6t) + (25/127)cos(6t).

Therefore, the complete solution is: x(t) = C₁ e⁻⁴⁺ + C₂ e⁻¹⁰⁺ - (3/127)sin(6t) + (25/127)cos(6t)

Applying initial conditions x(0) = 0 and x'(0) = 0, we get: C₁ + C₂ = 0 and -4C₁ - 10C₂ + (25/127) = 0. Solving these equations, we get, C₁ = -5/23 and C₂ = 5/23.

The complete solution is, x(t) = (-5/23) e^{-4t} + (5/23) e⁻¹⁰⁺ - (3/127)sin(6t) + (25/127)cos(6t).The long-term behavior of the system is given by the steady periodic solution.

It is obtained by taking the limit of x(t) as t tends to infinity. Since e⁻⁴⁺ and e⁻¹⁰⁺ tend to zero as t tends to infinity, we have:lim x(t) = (25/127)cos(6t) - (3/127)sin(6t) for very large positive values of t.

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f(x) = ax2 + bx + c, where a, b, and c are real values and a = 0, is a quadratic function. A quadratic function's domain is (,). The graph of the simplest quadratic function, f(x) = x2, is shown below. Its shape, a parabola, should be recognizable from Intermediate Algebra.

To find the time at which the ball hits the ground, we need to find the value of t when h(t) = 0.

Solving -16.1t^2 + 150 = 0 gives us:

-16.1t^2 = -150

t^2 = 9.37

t = 3.05 (rounded to the nearest hundredth)

So the ball hits the ground after 3.05 seconds.

The complete question is:-

The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building.

- From what height, in feet, was the ball dropped?

-After how many seconds, rounded to the nearest hundredth, did the ball hit the ground?

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The value of c is 1.15. This is found by looking up the probability 0.1253 in the standard normal table and subtracting the value from 0.A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal table shows the probability that a standard normal variable will be less than a certain value. To find the value of c, we can look up the probability 0.1253 in the standard normal table. The table shows that the probability is 0.1253. This means that 12.53% of the values in a standard normal distribution will be greater than c.

To find the actual value of c, we can subtract the probability from 0.0:

c = 1 - 0.1253 = 0.8747

This means that c is the value that 87.47% of the values in a standard normal distribution will be less than.

Rounded to 2 decimal places, the value of c is 1.15.

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The composite functions of  (f o g)(x), (g o f)(x) and their domains in the function f( x ) = x² + x and  g( x ) = 1/(x+1) are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R } respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function (f o g)(x).

(f o g)(x) = f( g(x) )

f( x ) = x² + x

f( g(x) ) = f( 1/(x+1) )  = ( 1/(x+1) )² + 1/(x+1)

Apply product rule to simply

f( g(x) ) = 1² /(x+1)² + 1/(x+1)

f( g(x) ) = (1 + x + 1 )/ (x+1)²

f( g(x) ) = (x+2) / (x+1)²

Next, find the domain by equating the denominator to 0 and solve for x.

x + 1 = 0

x = -1

Domain: {x|x ≠ -1 }

For (g o f)(x), set up the composite result function (g o f)(x).

(g o f)(x) = g( f(x) )

g( x ) = 1/(x+1)

g( f(x) ) = g( x² + x ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/( (x² + x) + 1 )

g( f(x) ) = 1/(x² + x + 1 )

Next, find the domain by equating the denominator to 0 and solve for x.

x² + x + 1 = 0

x = ( -1±√(1² - 4 ×(1×1) ) / (2 × 1 )

x = (-1±i√3)/2

x = (-1+i√3)/2, (-1-i√3)/2

Hence,

Domain is set of all real numbers.

Domain: {x|x ∈ R }

Therefore the composite functions and their domain are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R }.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

The cost of painting the interior halss is $336

Step-by-step explanation:

See the attached worksheet.  Assumptions are made on what portions of the hall are to be painted.  The total area of the 2 identified walls is calculated.  The pots of paint are then calculated, by using the conversion factor (1 pot)/(40 m^2), which leads to a need for 21 pots.  The price per pot is then multiplies by the number of pots required to produce a result of $336 to cover the walls with one coat of paint.

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.

The volume of the solid generated when the region bounded by y = 9x and y = 27x/x is revolved around the x-axis is given by V = 27lnx - 9x + c

To calculate this volume, we need to calculate the area of the cross-section of a shell at x.

The cross-section is found by taking the difference of the two curves, y = 9x and y = 27x/x, at that particular x in the form of a rectangle.

The height of the rectangle is y₂ - y₁ and the width is the interval dx. Therefore, the area of the cross-section is given by

A(x) = (y₂ - y₁)dx = [(27x/x - 9x)dx].

The volume of the solid is then given by the formula

=> V = ∫A(x)dx.

Substituting in the expression for A(x), we have

=>  V = ∫(27x/x - 9x)dx.

Integrating this expression, we get V = 27lnx - 9x + c, where c is an arbitrary constant.

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Answer:

k/20

Step-by-step explanation:

Calculating this expression, we find that the length of the image of the rectangle is 36 in.

To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:

(image width) / (original width) = (image length) / (original length)

Substituting the known values, we have:

21 in. / 14 in. = (image length) / 24 in.

Solving for the image length, we get:

(image length) = (21 in. / 14 in.) * 24 in.

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Answer:

158.4

Step-by-step explanation:

c constant of proportionality is 12

Step-by-step explanation:

36÷3= 12

The functions are arranged from narrowest to widest as follows

A function with a narrower graph has a smaller range of values for its independent variable (typically the x-axis). Here are some ways to identify functions with narrower graphs:

The coefficient of the polynomial, when the coefficient is greater the graph is narrower. The magnitude used here are the absolute values since the sign takes care of whether the graph face up or down.

Considering this we have that

|4| is the narrowest

|-2x| is wide

|1/4| is the widest

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The car travels 234 miles in 4 hours and 30 minutes at an average speed of 52 mph.

To find the distance traveled, we can use the formula:

distance = speed x time

Where speed is given as 52 mph, and time is 4.5 hours.

So, the distance traveled is:

distance = 52 mph x 4.5 hours

Evaluate the products

distance = 234 miles

Hence, the car travels for a total of 234 miles for 4.5 hours

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Answer:

Hey There!

Let's solve ....

\(let \: m_{1} \: and \: m_{2} \: are \: the \: two \\ masses \: seperated \: by \: \\ distance \: d \\ \\ lets \: find \: equation \: 1 \\ \\ f \propto m_{1} m_{2} \\ \\ now \: equation \: 2 \\ \\ f \propto \frac{1}{ {d}^{2} } \)

On combining these two equations, it comes

\(f \propto \frac{ m_{1} m_{2} }{ {d}^{2} } \\ \\ f = g \times \frac{ m_{1} m_{2} }{ {d}^{2} } \\ \\ \)

[G is a gravitational constant here]...

Hence it is proved.

The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

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The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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It took 20 hours for the 5 feet of snow to accumulate.

Given that,

There was a snowstorm. Three inches of snow was falling each hour. How long will it take for five feet of snow to accumulate if the snow keeps falling How many hours are there in a day?

We want to know how long it will take for 5 feet of snow to accumulate in this situation when snow was falling at a pace of 3 inches per hour.

since 12 inches make one foot 5 feet = 5 × 12=60 inches As a result,

the division of the time will be as follows:= 60 / 3

= 2020 hours are required.

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The final balance that will be in the account of Latisha is $10.

A checking account simply means the account that makes use of a check. It is usually used by business owners.

From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.

The appropriate operations to find the balance will be:

= 40 - 20 - 40 + 30

= 10

She will have $10 left. Note that a withdrawal is subtraction.

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